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Finding the Third Proportional to 264,767 and 404,075

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Solution

The third proportional to 264,767 and 404,075 is: 616,680.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,767 : 404,075 = 404,075 : x
  2. Step 2: Convert to fraction form
    264,767/404,075 = 404,075/x
  3. Step 3: Cross multiply
    264,767x = 404,075 × 404,075
  4. Step 4: Simplify right side
    264,767x = 163,276,605,625
  5. Step 5: Solve for x
    x = 163,276,605,625/264,767
  6. Step 6: Final answer
    x = 616,680.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.